Pick's theorem and the Kadison-Singer problem

Michael Hartz (Saarland University)

Thursday 12th March, 2020 16:00-17:00 Maths 311B


Pick's theorem is a century-old theorem in complex analysis about
interpolation with bounded analytic functions. The Kadison-Singer
problem was a question about states on C*-algebras originating
in the work of Dirac on the mathematical description of quantum
mechanics. It was solved by Marcus, Spielman and Srivastava a few years ago.

I will talk about Pick's theorem, the Kadison-Singer problem and how the
two can be brought together to solve interpolation problems with
infinitely many nodes. This talk is based on joint work with Alexandru
Aleman, John McCarthy and Stefan Richter.

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